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Finding the Fourth Proportional to 5,050, 6,969.27 and 2,955.34

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Solution

The fourth proportional to 5,050, 6,969.27 and 2,955.34 is: 4,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050 : 6,969.27 = 2,955.34 : x
  2. Step 2: Convert to fraction form
    5,050/6,969.27 = 2,955.34/x
  3. Step 3: Cross multiply
    5,050x = 6,969.27 × 2,955.34
  4. Step 4: Simplify right side
    5,050x = 20,596,562.40
  5. Step 5: Solve for x
    x = 20,596,562.40/5,050
  6. Step 6: Final answer
    x = 4,078.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.